Mathematics High School

Yesterday, Kate gave exactly fourteen haircuts
and made $50.00. If she charged $5.00 for adults'
haircuts and $2.50 for children's haircuts, how
many children's haircuts did she give?
A) 5
B) 6
C) 7
D) 8

Answers

Answer 1

Answer:

D) 8

Step-by-step explanation:

8 x 2.5 = 20

and the rest is adult haircuts

6 x 5 = 30

Answer 2

Answer:

D) 8 Children’s Haircuts

Step-by-step explanation:

Let a represent the amount of adult haircuts and c represent the amount of child haircuts.

We know that she gave exactly 14 haircuts. So:

[tex]a+c=14[/tex]

We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:

[tex]5a+2.5c=50[/tex]

This is now a system of equations.

We can solve this using substitution. From the first equation, let’s subtract c from both sides:

[tex]a=14-c[/tex]

Now, we can substitute this into the second equation for a. This yields:

[tex]5(14-c)+2.5c=50[/tex]

Distribute:

[tex]70-5c+2.5c=50[/tex]

Combine Like Terms:

[tex]70-2.5c=50[/tex]

Subtract 70 from both sides:

[tex]-2.5c=-20[/tex]

Divide both sides by -2.5:

[tex]c=8[/tex]

Therefore, Kate gave 8 children’s haircuts.

This means that she gave [tex]14-8=6[/tex] adult haircuts.

So, our answer is D. She gave 8 children’s haircuts.

Related Questions

Find a pattern for the sequence below.
1, 4, 9, 16, 25, ...

Answers

Answer:

add 3, add 5, add 7, add 9

Step-by-step explanation:

1+3=4

4+5=9

9+7=16

16+9=25

add by odd numbers, for a simpler answer

Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer

Answers

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

4(2q - 3) = 8q - 12 | one solution, no solution, or many soulutons

Answers

Answer:

0

Step-by-step explanation:

8q-12=8q-12

0=0

Which of the following equations is equivalent to 2x+y = 7?
a
y = -2x +7
Ob
y = 2x +7
y=2x-7
y=-2x-7
Od

Answers

Answer:

a,y=‒2x+7

Step-by-step explanation:

2x+y=7

y=7‒2x or y=‒2x+7

i think it is easy to understand

what is the product of -3 1/4 and -1 1/2

Answers

Answer:

-4 and 3/4, also written as -4.75

Step-by-step explanation:

Which of the following is not a rational number

Answers

Answer:

c

Step-by-step explanation:

36 - (- 4) + 5 + (- 10) =

Answers

Answer:-370

Step-by-step explanation:

Answer: 35

Step-by-step explanation: 36−(−4)+5−10 =40+5−10

45-10=35 :) hope this helps!

what is 67-u=182 i got 249 and ik it is wrong

Answers

Answer:

Step-by-step explanation:

67 - u = 182

67 - 182 = u

-115 = u

© MP.1 Make Sense and Persevere
The Environmental Club's goal is to collect
9,525 cans by the end of four months. How
can you find the number of cans the club
needs to collect in September to meet their
goal? How many more cans do they need?
Month
DATA
June
July
Augusthow many more cans did they need ​

Answers

Answer:

[tex]September = 2697[/tex]

Step-by-step explanation:

Given

[tex]June = 1,898[/tex]

[tex]July = 2,643[/tex]

[tex]August = 2,287[/tex]

[tex]Expected = 9,525[/tex]

Required

Number of cans in September

First, we need to determine the total collected can from July to August.

[tex]Total = 1898 + 2643 + 2287[/tex]

[tex]Total = 6828[/tex]

September is then calculated as follows:

[tex]September = 9525 - 6828[/tex]

[tex]September = 2697[/tex]

Hence:

2697 cans are still needed

The diagram at the right shows a path through a garden.

The approximate length of the path, p, can be found with the formula

[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]

Which of the following measures is closest to the length

of the path?

A. 10 m

B. 12 m

C. 13 m

D. 18 m

Answers

Answer: B  about 13 m

Step-by-step explanation:

Calculate 8²  = 64  and 10² = 100  Add to get 16

Then get √164 = =12.80624847

Round up to 13.  

Which equation transforms f(x)=x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

Answers

Answer:

the one you have selected

Step-by-step explanation:

you already have the correct answer

The expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]

The equation of the function is given as:

[tex]f(x) = x[/tex]

The rule of horizontal stretch by a factor of 2 is represented as:

[tex](x,y) \to (\frac 12x,y)[/tex]

So, we have:

[tex]y = f(\frac 12x)[/tex]

The rule of reflection over the x-axis is represented as:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]y = -f(\frac 12x)[/tex]

The rule of a vertical shift down by 4 units is:

[tex](x,y) \to (x,y-4)[/tex]

So, we have:

[tex]y = -f(\frac 12x)-4[/tex]

Hence, the expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

a sqaure tile has a width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall

Answers

Answer:

16- this question is already here from other people! :-)

Step-by-step explanation:


The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:yz

Step-by-step explanation:

hope this helps

final answer is c= 24 degrees

Si el tamaño de una bacteria es 1,59 x 10-3 mm, ¿cuántos átomos de oxígeno caben a lo largo de ella? (Sabiendo que: el ancho de un átomo de oxígeno aprox. Es 4,804 x 10-9 cm).

Answers

An.

Step-by-step explanation:

PLZZ HELP!!! IT'S DUE TODAY! WILL GIVE BRAINLIEST AND 35 POINTS. PLS INCLUDE WORK!

QUESTION: Factor 91a + 28c.

Answers

Answer:

the answer is 7(13a+4c)

ind the GCF of 91 and 28 since a and c are separate variables. this is 7; since 91/7 is 13 and 28/7 is 4. we can take this out of the parentheses like this:

7(13a+4c)

Answer:

7(13a+4c)

Step-by-step explanation:

hi! let's find the GCF of 91 and 28 since a and c are separate variables. this is 7, since 91/7 is 13 and 28/7 is 4. we can take this out of the parentheses like this:

7(13a+4c)

this is basically like reverse distribution. if you distribute the 7 into the parentheses, you will get the original unfactored expression.

hope this helps!

I am almost bankrupt asking the same question but....

1)If (a^2+1)/a=12,find the value of a^3 +(1)/a^3
2)If y-(1)/y=7 find the value for (y^6-1)/y^3

Answers

Answer:

If you understand how I solved a you can do B. Keep at it!

Step-by-step explanation:

NEED HELP IM BEGGING YOU PLEASE !!!!!

Answers

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9

The average speed of a plane was 500 kilometers per hour . How long did it take the plane to travel 100 kilometers

Answers

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

Please do this if your smart please dont guess this is an important anwser​

Answers

Answer:

J''(- 3, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

Thus J(1, 1 ) → J'(- 1, 1 )

Under a dilatation with scale factor 3, multiply each of the coordinates of J' by 3, that is

J'' = (3(- 1), 3(1)) = (- 3, 3 )

After a dilation, a figure becomes similar or congruent

Answers

Answer:

The figure becomes congruent

The next model of a sport car will cost 3.6% more than the current model. The current model cost $42,000. How much will the price in dollars? What will be the price of the next model

Answers

Answer:

$43,512

Step-by-step explanation:

3.6% = 0.036

0.036 * 42,000 = 1,512

42,000 + 1,512 = 43,512

Somebody help ...............................

Answers

D is the correct answer

What is 3x+ x equal to?

Answers

Answer:

4x

Step-by-step explanation:

I need HELP asap the teacher wants it do today PLEASE HELP

Answers

The point would be B since the distance says consistent from that point.

Answer:

i think Point C

Step-by-step explanation:

Because Point A is you walking to the bus stop-

Point B is u waiting at the bus stop-

And point C is u on the bus

Sorry if it didn't help :/

BRAINLYEST AND 20 POINTS

For the given situation: Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the number x of hardcover books and the number y of paperback books he can buy? Select all the pairs that represent combinations of books that Derek can buy. Group of answer choices (2, 5) (0,10) (−2, 15) (3, 5/2) (1, 2/5)

Answers

Answer:

(0,10)

Step-by-step explanation:

All of  the other answers dont make sense or are false so it makes (0,10) the only correct answer.

The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Hardcover books cost $5 each and paperbacks cost $2 each.

The number of hardcover books is x while paperbacks are y

Thus,

Total cost = 5x + 2y

5x + 2y ≤ 20

The x and y is the whole number so they will never be negative or in fractions.

Therefore, The pair which satisfies the above expression is (2,5) and (0,10).

Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".

For more about the equation,

https://brainly.com/question/10413253

#SPJ5

What is an
equation of the line that passes through the points (0, 2) and (5,8)?

Answers

Answer: y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5

y-intercept = (0, 2)

y = (6/5)x + 2

y = 1.2x + 2

56 equals 128 reduced by z
Write the sentence as an equation.

Answers

Answer:

56 = 128-z

Step-by-step explanation:

Answer:

128-z=58

z=70

Step-by-step explanation:

need answer 4x+2+3x+3=180

Answers

Answer:

Step-by-step explanation:

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 175

x = 25

which of the following options is the decimal equivalent of 2 7/9

2.8

1.5

1.6

2.7 (The seven has a line over it)

Answers

Answer: 2 . (7)

Step-by-step explanation:2 7/9 equals to 2.(7)

It is, a so called, 'repeating' decimal

`~hope i helped~

It would be 2.7 repeating
because
7/9 is .7777777777
and .777777 + 2 = 2.7777777

Add the following rational numbers -7.2 + (-4.28)

Answers

-11.48 hopefully I helped

Answer:

-11.48

Step-by-step explanation:

-7.2 + (-4.28)

-7.2 - 4.28

-11.48

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